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Finding the Fourth Proportional to 8,195, 12,297.58 and 3,001.32

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Solution

The fourth proportional to 8,195, 12,297.58 and 3,001.32 is: 4,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195 : 12,297.58 = 3,001.32 : x
  2. Step 2: Convert to fraction form
    8,195/12,297.58 = 3,001.32/x
  3. Step 3: Cross multiply
    8,195x = 12,297.58 × 3,001.32
  4. Step 4: Simplify right side
    8,195x = 36,908,972.81
  5. Step 5: Solve for x
    x = 36,908,972.81/8,195
  6. Step 6: Final answer
    x = 4,503.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.